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23612628 = 22313236581
BaseRepresentation
bin101101000010…
…0110011010100
31122102122102210
41122010303110
522021101003
62202033420
7404463324
oct132046324
948378383
1023612628
1112368576
127aa8870
134b79890
1431c9284
152116503
hex1684cd4

23612628 has 48 divisors (see below), whose sum is σ = 61923456. Its totient is φ = 6948480.

The previous prime is 23612621. The next prime is 23612639. The reversal of 23612628 is 82621632.

It is a junction number, because it is equal to n+sod(n) for n = 23612595 and 23612604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23612621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298 + ... + 6878.

It is an arithmetic number, because the mean of its divisors is an integer number (1290072).

Almost surely, 223612628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23612628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30961728).

23612628 is an abundant number, since it is smaller than the sum of its proper divisors (38310828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23612628 is a wasteful number, since it uses less digits than its factorization.

23612628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6622 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 23612628 is about 4859.2826631099. The cubic root of 23612628 is about 286.8895802368.

The spelling of 23612628 in words is "twenty-three million, six hundred twelve thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 6581 13162 19743 26324 39486 78972 85553 151363 171106 256659 302726 342212 454089 513318 605452 908178 1026636 1816356 1967719 3935438 5903157 7870876 11806314 23612628